Multivariate extreme value distribution statistical theory accompanied with discrete process and its engineering application

Aiming at the research on design criteria of ocean engineering by international academic and engineering group, a discrete variable is involved in this paper and then a new type of distribution-Multivariate Dynamic Random Extreme Value Distribution model (MDREVD) is obtained by compounding the discrete distribution with a multivariate continuous distribution. The MDREVD model is based on traditional Multivariate Extreme Value Distribution (MEVD), however, it can describe the probabilistic characteristic of extreme sea environmental events better than MEVD. And results of several examples are indicated that the new model is more reasonable.